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Finding the Fourth Proportional to 65,342.98, 90,224.10 and 50,211.80

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Solution

The fourth proportional to 65,342.98, 90,224.10 and 50,211.80 is: 69,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.98 : 90,224.10 = 50,211.80 : x
  2. Step 2: Convert to fraction form
    65,342.98/90,224.10 = 50,211.80/x
  3. Step 3: Cross multiply
    65,342.98x = 90,224.10 × 50,211.80
  4. Step 4: Simplify right side
    65,342.98x = 4,530,314,464.38
  5. Step 5: Solve for x
    x = 4,530,314,464.38/65,342.98
  6. Step 6: Final answer
    x = 69,331.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.